The rate of economic growth per capita in france from 1996 to 2000 was 1.9% per year, while in korea over the same period it was 4.2%. Per capita real GDP was $28,900 in france in 2003, and $12,700 in korea. Assume the growth rates for each country remain the same. 1. Compute the doubling time for France’s per capita real GDP.
2. Compute the doubling time for Korea’s per capita real GDP.
3. What will France’s per capita real GDP be in 2045?
4. What will Korea’s per capita real GDP be in 2045?

36.83 years

16.85 years

$63,710.88

$ 71,490.43  

Explanation:

We can use the nper  formula in excel  to compute the doubling time for the capital real GDP of both countries

=nper(rate,pmt,-pv,fv)

FV is the future real GDP which $28,900*2=$57,800 for France while that of Korea is $25,400 ($12,700*2)

PV is the present real GDP

rate is the economic growth rate of 4.2% in Korea and 1.9% in France

France=nper(1.9%,0,-28900,57800)= 36.83  

Korea=nper(4.2%,0,-12700,25400)= 16.85  

In 2045 ,which is 42 years from now the real GDP are shown thus:

=fv(rate,nper,pmt,-pv)=fv(1.9%,42,0,-28900)=$63,710.88  

=fv(rate,nper,pmt,-pv)=fv(4.2%,42,0,-12700)=$ 71,490.43  

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